<p>This study presents a comprehensive analysis of elastodiffusive behavior in a nonsimple, isotropic solid cylinder subjected to transient thermal excitation. The governing framework integrates nonlocal thermoelasticity with memory-dependent diffusion, capturing the lagging effects of heat and mass transport through multi-phase-lag models and kernel-based formulations. Constitutive relations are developed to incorporate spatial nonlocality and temporal memory, yielding coupled field equations that describe the distributions of temperature, displacement, chemical potential, and stress. The model is solved in the Laplace domain using analytical techniques, and numerical inversion is performed via the Durbin method enhanced by the <i>ε</i>-algorithm for improved convergence. Parametric studies reveal the influence of kernel functions, nonlocal parameters, propagation velocity, and discrepancy factors on the spatial profiles of thermoelastic quantities. Results demonstrate that increasing nonlocality and memory sensitivity leads to smoother field distributions, reduced stress concentrations, and enhanced thermal uniformity. The novelty lies in combining nonlocal elasticity and phase-lag transport in cylindrical geometry, offering a unified, memory-sensitive model for coupled thermo-elasto-diffusion. These findings provide valuable insights into the design of microstructured, memory-sensitive materials under coupled thermal and mechanical loading.</p>